and indicates is a quad IV angle.
to calculate the rest, use the difference identity for sine and cosine ...
You can also note that a right triangle with hypotenuse of length 13 and one leg of length 5 has cosine of the angle between those two side 5/13. What is the length of the other leg? And from that, what is the sine of the angle? This is treating the angle as between 0 and . Use the quadrant information to find the sign.